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Finding the Fourth Proportional to 202,849.10, 304,273.65 and 155,609.90

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Solution

The fourth proportional to 202,849.10, 304,273.65 and 155,609.90 is: 233,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,849.10 : 304,273.65 = 155,609.90 : x
  2. Step 2: Convert to fraction form
    202,849.10/304,273.65 = 155,609.90/x
  3. Step 3: Cross multiply
    202,849.10x = 304,273.65 × 155,609.90
  4. Step 4: Simplify right side
    202,849.10x = 47,347,992,249.14
  5. Step 5: Solve for x
    x = 47,347,992,249.14/202,849.10
  6. Step 6: Final answer
    x = 233,414.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.